4380 ÷ 65 
The aim is to understand the frequency of 65 in 4380.

Advancing to step 1:
When dividing 4 by 65, we get 0 with a remainder of 4.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
If we take 0 away from 4, we end up with 4.
Bring next digit (3) of the dividend behind the 4 and repeat the process: 43 / 65

Moving on to step 2:
43 divided by 65 is 0 with a remainder of 43.
The next digit of our result is 0. 
Result so far: 0.0
If we take 0 away from 43, we end up with 43.
Bring next digit (8) of the dividend behind the 43 and repeat the process: 438 / 65

On to step 3:
65 can be fit into 438 6 times, resulting in a remainder of 48.
Write down 6 as next digit of the result. 
Result so far: 6.0
If we subtract 390 from 438, we get 48.
Include the next digit (0) from the dividend after 48, then repeat: 480 / 65

Moving on to step 4:
When dividing 480 by 65, we get 7 with a remainder of 25.
Use 7 as the next digit of our solution. 
Result so far: 67.0
Subtracting 455 from 480 leaves us with 25.
Since there are no more digits in the dividend, we add a zero to the remainder making it 250, and continue the process.

Step 5:
When dividing 250 by 65, we get 3 with a remainder of 55.
Put 3 as the next digit of the answer. 
Result so far: 67.3
Deduct 195 from 250 and we're left with 55.
Since there are no more digits in the dividend, we add a zero to the remainder making it 550, and continue the process.

Going ahead to step 6:
The number 65 fits into 550 8 times, leaving a remainder of 30.
Put 8 as the next digit of the answer. 
Result so far: 67.38
If we subtract 520 from 550, we get 30.
Since there are no more digits in the dividend, we add a zero to the remainder making it 300, and continue the process.

Going ahead to step 7:
300 divided by 65 is 4 with a remainder of 40.
Put 4 as the next digit of the answer. 
Result so far: 67.384
The remainder is 40 after subtracting 260 from 300.
Since there are no more digits in the dividend, we add a zero to the remainder making it 400, and continue the process.

Advancing to step 8:
400 divided by 65 is 6 with a remainder of 10.
Put 6 as the next digit of the answer. 
Result so far: 67.3846
The remainder is 10 after subtracting 390 from 400.
Since there are no more digits in the dividend, we add a zero to the remainder making it 100, and continue the process.

Moving on to step 9:
65 goes into 100 1 times with a remainder of 35.
Write down 1 as next digit of the result. 
Result so far: 67.38461
Deduct 65 from 100 and we're left with 35.
Since there are no more digits in the dividend, we add a zero to the remainder making it 350, and continue the process.

Let's proceed to step 10:
When dividing 350 by 65, we get 5 with a remainder of 25.
Use 5 as the next digit of our solution. 
Result so far: 67.384615
If we take 325 away from 350, we end up with 25.
Since there are no more digits in the dividend, we add a zero to the remainder making it 250, and continue the process.

Moving on to step 11:
The number 65 fits into 250 3 times, leaving a remainder of 55.
Write down 3 as next digit of the result. 
Result so far: 67.3846153
Subtract 195 from 250 to get 55.
Since there are no more digits in the dividend, we add a zero to the remainder making it 550, and continue the process.

Let's proceed to step 12:
65 goes into 550 8 times with a remainder of 30.
Record the quotient 8 as the next digit in the result. 
Result so far: 67.38461538
Subtract 520 from 550 to get 30.
Since there are no more digits in the dividend, we add a zero to the remainder making it 300, and continue the process.

The final result is 67.38461538 with a remainder of 3e-08.